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Finding the Third Proportional to 124,311 and 272,131

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Solution

The third proportional to 124,311 and 272,131 is: 595,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,311 : 272,131 = 272,131 : x
  2. Step 2: Convert to fraction form
    124,311/272,131 = 272,131/x
  3. Step 3: Cross multiply
    124,311x = 272,131 × 272,131
  4. Step 4: Simplify right side
    124,311x = 74,055,281,161
  5. Step 5: Solve for x
    x = 74,055,281,161/124,311
  6. Step 6: Final answer
    x = 595,725.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.